Electromechanical dynamic force profile articulating mechanism

ABSTRACT

An electromechanical dynamic force profile articulating mechanism for recovering or emulating true parallel plate capacitor actuation behaviors from deformable membranes used in MEMS systems. The curved deformation of flexible membranes causes their MEMS behavior to deviate from known interactions between rigid plates that maintain geometric parallelism during ponderomotive actuation. The present invention teaches three methods for reacquiring parallel plate behavior: superaddition or in situ integration of a rigid region within or upon the deformable MEMS membrane; creation of isodyne regions to secure parallelism by altering the force profile upon the membrane by introducing tuned and shaped voids within the conductive region associated with the membrane; and a hybrid composite approach wherein the conductive region is deposited after deposition of a raised rigid zone, thereby emulating isodyne behavior due to the increased inter-conductor distance in the vicinity of the rigid zone, in conjunction with rigidity benefits stemming directly from said zone.

TECHNICAL FIELD

The present invention relates in general to the field of MEMS devices,and more particularly to the field of MEMS-based flat panel displays,where the ability to control the shape and behavior of dynamicallydeformed membranes secures more desirable behaviors from the MEMS devicein question.

BACKGROUND INFORMATION

MEMS-based systems, including flat panel displays that exploit theprinciple of frustrated total internal reflection (FTIR) to induce theemission of light from the system, may have to satisfy crucial physicalcriteria to function properly. The display system disclosed in U.S. Pat.No. 5,319,491, which is incorporated by reference in its entiretyherein, as representative of a larger class of FTIR-based MEMS devices,illustrates the fundamental principles at play within such devices. Sucha device is able to selectively frustrate the light undergoing totalinternal reflection within a (generally) planar waveguide. When suchfrustration occurs, the region of frustration constitutes a pixel suitedto external control. Such pixels can be configured as a MEMS device, andmore specifically as a parallel plate capacitor system that propels adeformable membrane between two different positions and/or shapes, onecorresponding to a quiescent, inactive state where FTIR does not occurdue to inadequate proximity of the membrane to the waveguide, and anactive, coupled state where FTIR does occur due to adequate proximity,said two states corresponding to off and on states for the pixel. Arectangular array of such MEMS-based pixel regions, which are oftencontrolled by electrical/electronic means, is fabricated upon the topactive surface of the planar waveguide. This aggregate MEMS-basedstructure, when suitably configured, functions as a video displaycapable of color generation, usually by exploiting field sequentialcolor and pulse width modulation techniques.

The criteria to be satisfied for such MEMS-based FTIR systems tofunction properly may involve control over the shape of the membranebeing electrically deformed during both activation and deactivation. Thesimplest MEMS structure normally selected for such implementationinvolves using opposing conductors configured so that the presence of apotential difference between them entails an imposed Coulomb attraction,causing relative motion of one or both of the conductors and any othermaterials tied to them. Such a system is traditionally termed a parallelplate actuator system, where one of the conductors is fixed, while theother is disposed on a member that is either capable of motion(generally being affixed at its putative edges by appropriate tethers orstandoff layers) or elastic deformation to controllably close the gapbetween the fixed and moveable conductor regions.

The electromechanical behavior of a parallel plate actuator system isusually optimal when the plates in question (the conductive regionsacross which a voltage potential is applied to induce relative motionbetween them) are rigid, parallel planes. Their rigidity contributes tokeeping the plates parallel, assuming an otherwise appropriatedistribution of ponderomotive force and concomitant fixturing ortethering of both the fixed and moveable elements by which the platesare mounted. If, for example, the moveable plate is not rigid, butelastic, it is clear that during the actuation event for such a system,there will be moments in time when the plates are no longer parallel toone another, due to geometric deformation of the non-rigid moveableplate under the influence of ponderomotive forces that naturallydistribute themselves to secure the lowest potential energy state at alltimes during actuation.

During an elastic deformation that causes the respective plates todeviate from a mutually parallel spaced-apart relation, theelectromechanical parameters for system behavior shift in significantways that are, in most cases, regarded as deleterious and harmful toproper and/or optimal MEMS operation. A means to recover the moredesirable behavior associated with a double-rigid-plate system, in thecontext of a system where one of the plates is quite flexible andcapable of significant elastic deformation, would restore the desiredMEMS behavior while retaining the other known advantages accruing to aMEMS defined exploiting elastic deformation to implement controllablerelative motion of the plates.

Therefore, there is a need in the art for a means to recover MEMSbehavior associated with rigid, parallel plate actuator elements whenone or more of the elements is not actually rigid but capable ofdeformation. A MEMS device that enjoys the electromechanical behaviorprofile associated with rigid plate interaction while actually beingcomposed of one or more non-rigid plate structures would bring thebenefits of both architectures (rigid and non-rigid) to bear on a singleMEMS device structure.

SUMMARY

The problems outlined above may at least in part be solved in one ofthree ways. First, where an elastic deformable membrane serves as theprimary component undergirding the moveable member of a parallel plateMEMS actuator system, one can locally rigidize said membrane by intimatelocalized superaddition of a rigid material onto the membrane to recoverapproximately-parallel dynamic behaviors within the desired limits ofthe applied performance criteria for the system.

Second, geometrically articulating the shape of the conductive region onone, or the other, or both, of the conductive planes, can lead toelectromechanical behaviors that can adequately emulate the desiredrigid plate motion. The simplest example of this is to place a circularhole in the conductive plane, so that no electrostatic attractive forcesare exerted upon the elastic membrane in the vicinity of the hole (whereno conductor exists). The membrane is then deformed by forces acting atthe perimeter of the circular hole and beyond. The forces at theperimeter of the circular hole will form an isodyne (a region of equalponderomotive forces), which is the essential behavior of a rigid plate(whereby such equality of ponderomotive force is gained by keeping therespective conductive planes parallel to one another). The center of thedeforming region, which would normally have a higher force due todeformational proximity and concomitant smaller gap, has no force actingupon it due to the deliberate omission of a conductor in that region.This annular isodyne region arises whether the hole in the conductiveplane is situated on either, or both, of the conductive regions, but itneed only be situated on one of them, thereby obviating the need formultiple precision registration of layers during fabrication of suchMEMS devices.

Third, a hybridization of the first two methods can readily beconfigured, so that it is possible to significantly enhance the desiredbehavior with far less superadded material than would normally berequired. In this method, fabrication sequence becomes important. Thesuperadded material to enhance rigidity is added first, and then theconductor region is deposited on top of this structure. One gains twobenefits as a consequence of this architecture: the direct benefit ofrigidization due to the superadded material, and the creation of anapproximated isodyne structure. The latter effect stems from the factthat, although no hole is present in the conductor, the central regionof the moveable conductor is separated from the opposing fixedconductive plane by a larger distance due to the presence of thesuperadded material. This approximates the effect of a hole in theconductive plane, except that a small force, rather than no force,arises at the center of the architecture. The region around thesuperadded rigid element functions as an isodyne no less so than before,so that this hybrid architecture yields desirable electromechanicalbehaviors due to both explicit rigidization and isodyne configuration.The benefits of this hybrid method include reduced superaddition ofrigidized material and simplicity of construction of isodynes withoutthe need to etch or otherwise explicitly create holes in one or more ofthe conductive planes.

The foregoing has outlined rather broadly the features and technicaladvantages of one or more embodiments of the present invention in orderthat the is detailed description of embodiments of the present inventionthat follows may be better understood. Additional features andadvantages of embodiments of the present invention will be describedhereinafter which form the subject of the claims.

BRIEF DESCRIPTION OF THE DRAWINGS

A better understanding of the present invention can be obtained when thefollowing detailed description is considered in conjunction with thefollowing drawings, in which:

FIG. 1 illustrates an embodiment of the present invention utilizingholes in the conductive plane to achieve articulated isodyne geometriesyielding quasi-parallel-plate behavior during MEMS actuation;

FIG. 2 illustrates an embodiment of the present invention utilizingsuperadded localized rigid regions to achieve quasi-parallel-platebehavior during MEMS actuation;

FIG. 3 illustrates a perspective view of a flat panel display suitablefor implementation of the present invention;

FIG. 4A illustrates a side view of a pixel in a deactivated state inaccordance with an embodiment of the flat panel display of FIG. 3;

FIG. 4B illustrates a side view of a pixel in an activated state inaccordance with an embodiment of the flat panel display of FIG. 3;

FIG. 5 illustrates an embodiment of the present invention that combinesisodyne-like behaviors arising out of conductive region geometryresulting from conductor deposition or overlay upon localized superaddedrigidized regions, thereby adjusting the force profile to approximate anannular isodyne architecture; and

FIG. 6 illustrates a data processing system in accordance with anembodiment of the present invention.

DETAILED DESCRIPTION

In the following description, numerous specific details are set forth toprovide a thorough understanding of the present invention. However, itwill be apparent to those skilled in the art that the present inventionmay be practiced without such specific details. In other instances,components have been shown in generalized form in order not to obscurethe present invention in unnecessary detail. For the most part, detailsconcerning considerations of controlled selective MEMS actuation (i.e.,actual operation of a rectangular n x m array of MEMS devices) and thelike have been omitted inasmuch as such details are not necessary toobtain a complete understanding of the present invention and, whilewithin the skills of persons of ordinary skill in the relevant art, arenot directly relevant to the utility and value provided by the presentinvention.

The principles of operation to be disclosed immediately below assume thedesirability of parallel plate MEMS actuator systems maintaining trueparallelism between the respective planar conductors that are inrelative motion with respect to one another during MEMS actuation(whether activation or deactivation). Such desirability may hinge onexploitation of the well-known one-third-gap instability that inheres inparallel plate capacitor electrostatic actuators, on exploitation ofnon-linear behavior and/or hysteresis, or other electromechanicalfactors.

Among the technologies (flat panel display or other candidatetechnologies that exploit the principle of frustrated total internalreflection) that lend themselves to implementation of the presentinvention is the flat panel display disclosed in U.S. Pat. No.5,319,491, which is hereby incorporated herein by reference in itsentirety. The use of a representative flat panel display examplethroughout this detailed description shall not be construed to limit theapplicability of the present invention to that field of use, but isintended for illustrative purposes as touching the matter of deploymentof the present invention.

Such a representative flat panel display may comprise a matrix ofoptical shutters commonly referred to as pixels or picture elements asillustrated in FIG. 3. FIG. 3 illustrates a simplified depiction of aflat panel display 300 comprised of a light guidance substrate 301 whichmay further comprise a flat panel matrix of pixels 302. Behind the lightguidance substrate 301 and in a parallel relationship with substrate 301may be a transparent (e.g., glass, plastic, etc.) substrate 303. It isnoted that flat panel display 300 may comprise other elements thanillustrated such as a light source, an opaque throat, an opaque backinglayer, a reflector, and tubular lamps, as disclosed in U.S. Pat. No.5,319,491.

Each pixel 302, as illustrated in FIGS. 4A and 4B, may comprise a lightguidance substrate 401, a ground plane 402, a deformable elastomer layer403, and a transparent electrode 404.

Pixel 302 may further comprise a transparent element shown forconvenience of description as disk 405 (but not limited to a diskshape), disposed on the top surface of electrode 404, and formed ofhigh-refractive index material, possibly the same material as compriseslight guidance substrate 401.

In this particular embodiment, it is important that the distance betweenlight guidance substrate 401 and disk 405 be controlled very accurately.In particular, it has been found that in the quiescent state, thedistance between light guidance substrate 401 and disk 405 should beapproximately 1.5 times the wavelength of the guided light, but in anyevent this distance is greater than one wavelength. Thus, the relativethicknesses of ground plane 402, deformable elastomer layer 403, andelectrode 404 are adjusted accordingly. In the active state, disk 405 ispulled by capacitative action, as discussed below, to a distance of lessthan one wavelength from the top surface of light guidance substrate401.

In operation, pixel 302 exploits an evanescent coupling effect, wherebyTIR (Total Internal Reflection) is violated at pixel 302 by modifyingthe geometry of deformable elastomer layer 403 such that, under thecapacitative attraction effect, a concavity 406 results (which can beseen in FIG. 4B). This resulting concavity 406 brings disk 405 withinthe limit of the light guidance substrate's evanescent field (generallyextending outward from the light guidance substrate 401 up to onewavelength in distance). The electromagnetic wave nature of light causesthe light to “jump” the intervening low-refractive-index cladding, i.e.,deformable elastomer layer 403, across to the coupling disk 405 attachedto the electrostatically-actuated dynamic concavity 406, thus defeatingthe guidance condition and TIR. Light ray 407 (shown in FIG. 4A)indicates the quiescent, light guiding state. Light ray 408 (shown inFIG. 4B) indicates the active state wherein light is coupled out oflight guidance substrate 401.

The distance between electrode 404 and ground plane 402 may be extremelysmall, e.g., 1 micrometer, and occupied by deformable layer 403 such asa thin deposition of room temperature vulcanizing silicone. While thevoltage is small, the electric field between the parallel plates of thecapacitor (in effect, electrode 404 and ground plane 402 form a parallelplate capacitor) is high enough to impose a deforming force on thevulcanizing silicone thereby deforming elastomer layer 403 asillustrated in FIG. 4B. By compressing the vulcanizing silicone to anappropriate fraction, light that is guided within guided substrate 401will strike the deformation at an angle of incidence greater than thecritical angle for the refractive indices present and will couple lightout of the substrate 401 through electrode 404 and disk 405.

The electric field between the parallel plates of the capacitor may becontrolled by the charging and discharging of the capacitor whicheffectively causes the attraction between electrode 404 and ground plane402. By charging the capacitor, the strength of the electrostatic forcesbetween the plates increases thereby deforming elastomer layer 403 tocouple light out of the substrate 401 through electrode 404 and disk 405as illustrated in FIG. 4B. By discharging the capacitor, elastomer layer403 returns to its original geometric shape thereby ceasing the couplingof light out of light guidance substrate 401 as illustrated in FIG. 4A.

As stated in the Background Information section, certain parallel platecapacitor actuators, such as the one in FIG. 4, exhibit superior controlcharacteristics when the two plates upon which the charges are placedand removed remain in a spaced-apart relation that is predominantlyparallel regardless of the excursion or deformation of either of itsmembers. It is noteworthy that the device in FIG. 4 does not exhibitsuch parallelism as configured, and that the membrane being deformedcauses the distance between the upper and lower conductors (electrode404 and disk 405) to be a function of distance from the center of themechanical system. The curved nature of the actuated conductor in FIG.4B is not considered desirable if true parallel plate capacitor actuatorbehavior is required. A mechanism to permit actuation while maximizinggeometric parallelism between the electrodes at all times is needed.

The device of FIG. 4 serves as a pertinent example that will be used,with some modifications for the purpose of generalization, throughoutthis disclosure to illustrate the operative principles in question. Itshould be understood that this electrical example, proceeding from U.S.Pat. No. 5,319,491, is provided for illustrative purposes as a member ofa class of valid candidate applications and implementations, and thatany device, comprised of any system exploiting the principles thatinhere in parallel plate capacitor actuator systems, can be enhancedwith respect to electromechanical control where deviation from desiredcontrol behavior stems from deviations from geometric parallelismbetween the respective conductors involved in driving the mechanicalmotion (by membrane deformation, member tethering, or other means). Thepresent invention governs a mechanism for recovering and maximizingconductor parallelism for a large family of devices that meet certainspecific operational criteria regarding the implementation of parallelplate capacitor actuator principles, while the specific reduction topractice of any particular device being so enhanced imposes norestriction on the ability of the present invention to enhance thebehavior of the device.

FIG. 1 depicts an embodiment of the present invention whereelectromechanical force articulation is achieved by adjusting thegeometry of the conductors involved in parallel plate capacitoractuation. For the sake of simplified illustration, the conductors areshown in isolation from other mechanical components of such a system(which may vary significantly from application to application). Thecomponents not illustrated may include deformable layers upon which theconductors are deposited or embedded, and/or standoff layers to keep theconductors in appropriate spaced-apart relation. Such components aredisclosed in FIG. 5 so that a fuller representative cross-section can beappealed to within this detailed description, so that their intentionalomission in FIG. 1 (and FIG. 2) should not be construed as anything morethan a means to clarify rather than obscure the present invention andits conceptual core.

An arbitrary number and spatial configuration of conductors is chosen inFIGS. 1 and 2 to illustrate the principle of operation of eachembodiment. The present invention is not tied to any given approach toapplying charges to any of the conductors, drive mechanisms, orfabricational schemas, insofar as it operates independently of all suchconsiderations. For illustrative contrast, two separate systems areshown side by side so that the impact of the implementation of thepresent invention can be clearly understood and its utility discerned.One conductor, a long planar strip 101, may be arbitrarily understood tocontrollably and selectively receive a positive charge. Two otherconductors, 102 and 103, also long planar strips which are alsoco-planar, may be arbitrarily understood to controllably and selectivelyreceive a negative charge. Conductor 101 is in spaced-apart relation toconductors 102 and 103, such that the separation between 101 and 102 inthe uncharged state is always distance 104, and the separation between101 and 103 is also distance 104 when uncharged. The region oforthogonal overlap between 101 and 102 shall be deemed to constitute theunarticulated actuator where the present invention is not implemented.The region of orthogonal overlap between 101 and 103 shall be deemed toconstitute the articulated actuator where the present invention isimplemented. The specific implementation of the present invention isevidenced by the fact that conductor 101 is not contiguous, but exhibitsa non conductive hole 105 situated in the planar conductive strip, whichhole is arbitrarily shown to be circular in shape. The electromechanicalbehaviors arising between the positive and negative crossover regions(overlap of 101 and 102, and overlap of 101 and 103 in the presence ofhole 105) are markedly different, showing the powerful effect of thepresence of the hole 105 on the actuation geometries, where theconductors (or the elastic carrier membranes, not shown, upon which theconductors are deposited or within which the conductors are embedded)deform in accordance with the local electrical fields and resultingCoulomb attraction profile.

When opposing charges are placed across 101 and 102, Coulomb attractioncauses continuous deformation of the conductor and any associatedmembrane to which it is tied, such that the potential energy stored as aresult of mechanical deformation is minimized. This results in a smoothcurving of 101 in the region of 102 that is depicted in cross-sectionalview 106. Adjacent to this unarticulated region (where the presentinvention is not implemented) is the other cross-over that does includean embodiment of the present invention, indicated by the presence ofhole 105. The presence of the hole 105 causes electrical force to forman isodyne region (region of equivalent force) around the hole'sperimeter, as measured from said perimeter of 105 to the conductor ofopposite charge 103. The isodyne region is annular in shape in thisexample, by virtue of the arbitrary choice of shape for hole 105(namely, a circle). In cross-sectional view, the resulting mechanicaldeformation of planar conductor 101 during application of opposingcharges on 101 and 103 in the vicinity of their respective overlap(which coincides with the presence of the hole in the conductor 105)results in a very different actuated profile 107. The cross-sectionalboundaries of hole 105 are shown as cutaway lines 108 and 109respectively. The Coulomb attraction is limited to inter-conductorinteraction, which means the region between 108 and 109 are not directlyacted upon by electrostatic force. Consequently, the region between 108and 109 is pulled at its perimeter, and the force at the perimeter isidentical where the hole 105 is properly centered in the electrostaticfield.

Comparing the respective behaviors where the present invention is notimplemented 106 and where it is implemented 107 by virtue of the shapedconductor (hole 105 causing an annular isodyne to arise between 101 and103 in the overlap region between them), one can see that parallelismbetween the conductors of opposing charge can be better maintained wherethe present invention is implemented. The force between the plates isaltered as to its distribution between the plates, and is thusarticulated by virtue of conductor geometries chosen to create isodyneregions. Isodynes inherently preserve parallelism between the respectiveplates of a parallel plate capacitor system, even when the plates arecapable of elastic deformation during excursion.

FIG. 2 shows a second embodiment of the present invention, utilizing thesuperaddition of rigid regions in specific locations to secure improvedparallelism between conductors anchored to deformable membranes (notshown for clarity's sake). For illustrative contrast, two separatesystems are shown side by side so that the impact of the implementationof the present invention can be clearly understood and its utilitydiscerned. One conductor, a long planar strip 201, may be arbitrarilyunderstood to controllably and selectively receive a positive charge.Two other conductors, 202 and 203, also long planar strips which arealso co-planar, may be arbitrarily understood to controllably andselectively receive a negative charge. Conductor 201 is in spaced-apartrelation to conductors 202 and 203, such that the separation between 201and 202 in the uncharged state is always distance 204, and theseparation between 201 and 103 is also distance 204 when uncharged. Theregion of orthogonal overlap between 201 and 202 shall be deemed toconstitute the unarticulated actuator where the present invention is notimplemented. The region of orthogonal overlap between 201 and 203 shallbe deemed to constitute the articulated actuator where the presentinvention is implemented. The specific implementation of the presentinvention is evidenced by the fact that conductor 201 exhibits asuperadded rigidizing element 205 situated on or within the planarconductive strip, which element is arbitrarily shown to be circular inshape (thus comprising a disc). Element 205 may be of arbitrarythickness and mechanical composition, and is designed to locallyincrease the mechanical stiffness and rigidity of the conductor 201 inthe immediate vicinity of 205, and/or the rigidity of any associatedmembrane upon which 201 is deposited or in which 201 is embedded (whichmembrane is not shown). The electromechanical behaviors arising betweenthe positive and negative crossover regions (overlap of 201 and 202, andoverlap of 201 and 203 in the presence of hole 105) are essentiallyidentical, but the differential rigidity at element 205 causes thedeformation to not undergo its default behavior. Element 205 providesinternal resistance to deformation of 201 (and/or associated elasticmembranes) in the vicinity of 205, thereby articulating the geometricresults arising from application of opposing electrical charges toconductors 201 and 203.

When opposing charges are placed across 201 and 202, Coulomb attractioncauses continuous deformation of the conductor and any associatedmembrane to which it is tied, such that the potential energy stored as aresult of mechanical deformation is minimized. This results in a smoothcurving of 201 in the region of 202 that is depicted in cross-sectionalview 206. Adjacent to this unarticulated region (where the presentinvention is not implemented) is the other cross-over that does includean embodiment of the present invention, indicated by the presence ofrigidizing element 205, arbitrarily shaped as a circular disc superaddedto 201. The presence of the disc 205 alters the mechanical deformationbehavior of conductor 201 and any associated membranes (not shown). Incross-sectional view, the resulting mechanical deformation of planarconductor 201 during application of opposing electrical charges on 201and 203 in the vicinity of their respective overlap (which coincideswith the presence of the disc-shaped rigidizing element 205 super-addedto the conductor 201) results in a very different actuated profile 207.The presence of element 205, shown in cross-section as element 208,results in the more flattened deformation profile of 207, which therebymaintains greater parallelism between 201 and 203 duringelectromechanical actuation through application of Coulomb attraction.Consequently, element 208 causes the deforming elements to resistdeviation from parallel spaced-apart relation during electrostaticactuation.

Comparing the respective behaviors where this second embodiment of thepresent invention is not implemented 206 and where it is implemented 207by virtue of the superadded rigidizing element 205 (208 incross-section), one can see that parallelism between the conductors ofopposing charge can be better maintained where the present invention isimplemented. Deviation from parallel spaced-apart relation of theconductors during electromechanical actuation is achieved by locallyconstraining the elastic deformation during excursion by directlymechanical means.

The two embodiments disclosed in FIGS. 1 and 2 can be hybridized,resulting in a third embodiment that delivers the desired mechanicalprofiles. FIG. 5 illustrates the hybridization of the first twoembodiments in cross-section, and provides previously undisclosedancillary elements that commonly comprise microelectromechanical systems(MEMS) based on parallel plate capacitor actuator architectures. Shownin cross-section in FIG. 5 is the single cross-over point betweenopposing conductors 500, which corresponds to the crossover regionsbetween planar conductors 101 and 103 in FIG. 1, and between planarconductors 201 and 203 in FIG. 2. The behavior resulting fromimplementation of the hybridized third embodiments will be analogous tothat illustrated at either 107 or 207, wherein the deformation iscontrolled to maximize a parallel spaced-apart relation of therespective conductors during application of opposing charges.

Planar conductor 501 corresponds to its counterparts 101 and 201 inFIGS. 1 and 2, respectively, while planar conductor 504 corresponds toits counterparts 103 and 203 in FIGS. 1 and 2, respectively. Additionalancillary elements are presented, although it is to be understood thatthe present invention is in not limited by any specific implementationsuch as provided for representative, illustrative purposes in FIG. 5.Conductor 504 is situated on a supporting rigid substrate 505, whileconductor 501 is situated on a deformable elastic membrane 502. Membrane502 is kept in spaced-apart parallel relation from 504 and 505 by fixedstandoff structures 503, which surround a void 507 into which membrane502 (and conductor 501) are free to move by deformation caused byapplication of opposite electrical charges to 501 and 504 causingCoulomb attraction to arise between them. Centered over the void 507 isa rigidizing element 506 situated on the elastic membrane 502. Conductor501 is deposited over the combined structure of membrane 502 and element506, such that it bears a curved cross-section as shown in FIG. 5.Conductor 501 in the regions around element 506 (namely, in theperipheral regions 508) is at a fixed distance from opposing conductor504 in the quiescent (inactivated) state, while conductor 501, followingthe contour of element 506 in region 509, is at a farther distance fromopposing conductor 504 in said quiescent state.

Two separate principles work together in this third, hybridizedembodiment of the present invention to secure improved parallelismduring actuation and deformation of the membrane 502 when opposingcharges are applied to conductors 501 and 504 (during which time theelastic 502 and associated conductor 501 mechanically deform and occupya significant region of the void 507, whereby it is even possible thatmembrane 502 will come into contact with conductor 504). First, thepresence of rigidizing element 506 means that the behaviors that inherein FIG. 2 at region 207 will also arise, and for the same reason: theelastic membrane 502 is restricted from flexing in the vicinity of therigidizing element 506. Second, the fact that the presence of therigidizing element 506 causes the conductor 501 to be tiered withrespect to spacing between it and opposing conductor 504 means twodifferent force profiles, based on different spatial separations of theconductors, are present. The increased separation of the conductors inregion 509 results in similar, but not entirely identical, behavior ascompared to the hole 105 in the conductor 101. An imperfect isodyne iscreated, because the force at the perimeter of the rigidizing element506 (at regions marked 508) is greater than it is measured through thebody of element 506 (region marked 509). Accordingly, the membrane 502is pulled down more strongly at the perimeter of 506, resulting ingeneration of a partial quasi-isodyne region at that perimeter. Thethicker element 506 is, the greater the conductor separation between 501and 504 becomes at 509 versus 508, and the more closely the electricalforce profile of this system approaches that disclosed in FIG. 1 atregion 107. The limiting, albeit impractical, case of element 506 beingof infinite thickness is analogous to a true hole in the conductor, likehole 105 in FIG. 1, but the desired behavior occurs far short of thislimit, where the thickness of element 506 only incrementally alters theseparation of conductors 501 and 504 in the region 509 as compared to508.

It can be appreciated that the composition of rigidizing element 506 maybe identical to that of membrane 502, and can even be a protuberance on502 fabricated by molding techniques, or by etching.

This third embodiment of the present invention shown in cross-sectionalview in FIG. 5 provides both electrical force articulation andmechanical resistance to undesired localized deformation, thereforecombining the preceding two embodiments into a valuable new hybrid. Anadded advantage of the invention illustrated in FIG. 5 is relative easeof fabrication, since the quasi-isodyne behavior arises automatically bydepositing the conductor on top of the membrane 502 which already hasrigidizing elements 506, of appropriately selected size and shape,distributed on its surface as warranted or dictated by the targetapplication in hand. A further advantage is discerned by comparing thisthird hybrid embodiment to the simple rigidized element approach of FIG.2. It can readily be understood that the thickness of the rigidizingelement can be reduced in the hybrid embodiment, since some of theburden of achieving parallelism during actuation is taken over by thequasi-isodyne electrostatic force profile articulation. Since the burdenis shared between mechanical and electrical means to acquire the desiredactuation behaviors, the designer of such systems has the option toreduce the thickness of the rigidizing element in light of theelectrostatic contribution inherent in the core architecture of thisthird embodiment.

A representative hardware environment for practicing the presentinvention is depicted in FIG. 6, which illustrates an exemplary hardwareconfiguration of data processing system 613 in accordance with thesubject invention having central processing unit (CPU) 610, such as aconventional microprocessor, and a number of other units interconnectedvia system bus 612. Data processing system 613 includes random accessmemory (RAM) 614, read only memory (ROM) 616, and a disk adapter 618 forconnecting peripheral devices such as disk unit 620 to bus 612, userinterface adapter 622 for connecting keyboard 624, mouse 626, and/orother user interface devices such as a touch screen device (not shown)to bus 612, communication adapter 634 for connecting data processingsystem 613 to a data processing network, and display adapter 636 forconnecting bus 612 to display device 638. Display device 638 mayimplement any of the embodiments described herein. Any of the displaysdescribed herein may include pixels such as shown in FIGS. 4A and 4B.CPU 610 may include other circuitry not shown herein, which will includecircuitry commonly found within a microprocessor, e.g., execution unit,bus interface unit, arithmetic logic unit, etc. CPU 610 may also resideon a single integrated circuit.

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 18. An apparatus, comprising: a firstconductor configured to selectively receive a first type of charge; asecond conductor configured to selectively receive a second type ofcharge wherein said first conductor and said second conductor are spacedapart during an uncharged state; and a non-conductive hole situated insaid second conductor.
 19. The apparatus as recited in claim 18, whereinwhen applying an electrical potential difference between said firstconductor and said second conductor, said second conductor deforms andmoves towards said first conductor.
 20. The apparatus as recited inclaim 18, wherein when applying an electrical potential differencebetween said first conductor and said second conductor an isodyne regionis formed around said non-conductive hole.
 21. The apparatus as recitedin claim 20, wherein said isodyne region is formed at the perimeter ofsaid non-conductive hole.
 22. The apparatus as recited in claim 20,wherein the uniform electrical force in said isodyne region causes saidsecond conductor to move towards said first conductor in a manner suchthat said isodyne region is parallel to said first conductor.
 23. Theapparatus as recited in claim 18, further comprising a deformableelastic membrane, wherein said second conductor is deposited on saiddeformable elastic membrane such that movement of the second conductorcauses concomitant movement of said deformable elastic membrane.
 24. Theapparatus as recited in claim 23, wherein when applying an electricalpotential difference between said first conductor and said secondconductor an isodyne region is formed in said second conductor aroundsaid non-conductive hole, and the uniform electrical force in saidisodyne region causes said deformable elastic membrane to move towardssaid first conductor in a manner such that said isodyne region isparallel to said first conductor.
 25. The apparatus as recited in claim18, further comprising a deformable elastic membrane, wherein saidsecond conductor is embedded within said deformable elastic membrane.26. The apparatus as recited in claim 25, wherein when applying anelectrical potential difference between said first conductor and saidsecond conductor an isodyne region is formed in said second conductoraround said non-conductive hole, and the uniform electrical force insaid isodyne region causes said deformable elastic membrane to movetowards said first conductor in a manner such that said isodyne regionis parallel to said first conductor.
 27. An apparatus comprising: afirst conductor configured to selectively receive a first type ofcharge; a second conductor configured to selectively receive a secondtype of charge, wherein said first conductor and said second conductorare parallel and spaced apart during an uncharged state; and anon-conductive hole situated in said second conductor; wherein whenapplying an electrical potential difference between said first conductorand said second conductor an isodyne is formed in said second conductoraround said non-conductive hole.
 28. The apparatus as recited in claim27, wherein the uniform electrical force in said isodyne region causessaid second conductor to move towards said first conductor in a mannersuch that parallelism is maintained between said isodyne region and saidfirst conductor.
 29. The apparatus as recited in claim 27, furthercomprising a deformable elastic membrane, wherein said second conductoris deposited on said deformable elastic membrane such that deformationof the second conductor causes concomitant deformation of saiddeformable elastic membrane.
 30. The apparatus as recited in claim 29,wherein the uniform electrical force in said isodyne region causes saiddeformable elastic membrane to move towards said first conductor in amanner such that parallelism is maintained between said isodyne regionand said first conductor.
 31. The apparatus as recited in claim 27,further comprising a deformable elastic membrane, wherein said secondconductor is embedded within said deformable elastic membrane.
 32. Theapparatus as recited in claim 31, wherein the uniform electrical forcein said isodyne region causes said deformable elastic membrane to movetowards said first conductor in a manner such that parallelism ismaintained between said isodyne region and said first conductor.
 33. Adisplay system, comprising: a plurality of pixels on a display, whereineach of said plurality of pixels comprises: a first conductor configuredto selectively receive a first type of charge; a second conductorconfigured to selectively receive a second type of charge, wherein saidfirst conductor and said second conductor are spaced apart during anuncharged state; and a non-conductive hole situated in said secondconductor.
 34. The display system as recited in claim 33, wherein whenapplying an electrical potential difference between said first conductorand said second conductor an isodyne region is formed around saidnon-conductive hole.
 35. The display system as recited in claim 34,wherein the uniform electrical force in said isodyne region causes saidsecond conductor to move towards said first conductor in a manner suchthat said isodyne region is parallel to said first conductor.
 36. Thedisplay system as recited in claim 33, further comprising a deformableelastic membrane, wherein said second conductor is deposited on saiddeformable elastic membrane such that movement of the second conductorcauses concomitant movement of said deformable elastic membrane.
 37. Thedisplay system as recited in claim 36, wherein when applying anelectrical potential difference between said first conductor and saidsecond conductor an isodyne region is formed in said second conductoraround said non-conductive hole, and the uniform electrical force insaid isodyne region causes said deformable elastic membrane to movetowards said first conductor in a manner such that said isodyne regionis parallel to said first conductor.
 38. The display system as recitedin claim 33, further comprising a deformable elastic membrane, whereinsaid second conductor is embedded within said deformable elasticmembrane.
 39. The display system as recited in claim 38, wherein whenapplying an electrical potential difference between said first conductorand said second conductor an isodyne region is formed in said secondconductor around said non-conductive hole, and the uniform electricalforce in said isodyne region causes said deformable elastic membrane tomove towards said first conductor in a manner such that said isodyneregion is parallel to said first conductor.
 40. The display system asrecited in claim 33, further comprising a rigid substrate, wherein saidfirst conductor resides on said rigid substrate.
 41. The display systemas recited in claim 40, wherein said rigid substrate is a planarwaveguide.
 42. The display system as recited in claim 33, furthercomprising a plurality of standoff structures configured to positionsaid second conductor in a spaced-apart relation to said firstconductor.